Non-perturbative corrections in the semi-classical limit of double-scaled SYK

Kazumi Okuyama

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arXiv · 2501.15501

Non-perturbative corrections in the semi-classical limit of double-scaled SYK

Kazumi Okuyama

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Abstract

We study the disk partition function of double-scaled SYK model (DSSYK) in the small $\lambda$ limit, where $\lambda=-\log q$ is the coupling of DSSYK. We find that the partition function receives non-perturbative corrections in $\lambda$, which can be resummed by the cubic power of the Dedekind eta function in a certain low temperature limit. We also discuss a possible bulk interpretation of our findings.

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Kazumi Okuyama. 2025-01-26. Non-perturbative corrections in the semi-classical limit of double-scaled SYK. https://arxiv.org/abs/2501.15501

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